Math Problem Statement

What kind of triangle is this?

Solution

In this question, we need to identify the type of triangle based on its angles. The triangle has angles of 3939^\circ, 5050^\circ, and 9191^\circ.

Explanation:

  1. Right Triangle: A triangle with exactly one 9090^\circ angle.
  2. Obtuse Triangle: A triangle with one angle greater than 9090^\circ.
  3. Acute Triangle: A triangle where all angles are less than 9090^\circ.
  4. Equiangular Triangle: A triangle where all three angles are equal, each being 6060^\circ.

Since this triangle has one angle that is 9191^\circ, which is greater than 9090^\circ, it qualifies as an obtuse triangle.

The correct answer should be:

  • Obtuse

Would you like further details or have any questions?


Here are five related questions to expand understanding:

  1. What is the definition of an isosceles triangle?
  2. How do you determine if a triangle is a right triangle based on its angles?
  3. Can a triangle have more than one obtuse angle? Why or why not?
  4. What makes a triangle equilateral?
  5. How can we classify triangles based on side lengths?

Tip: Remember that a triangle can only have one angle above 9090^\circ, which makes it obtuse.

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Math Problem Analysis

Mathematical Concepts

Triangle classification
Angle properties

Formulas

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Theorems

Triangle angle sum theorem

Suitable Grade Level

Grades 6-8